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Finding the Fourth Proportional to 6,388,714.40, 9,583,071.60 and 3,997,229.90

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Solution

The fourth proportional to 6,388,714.40, 9,583,071.60 and 3,997,229.90 is: 5,995,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388,714.40 : 9,583,071.60 = 3,997,229.90 : x
  2. Step 2: Convert to fraction form
    6,388,714.40/9,583,071.60 = 3,997,229.90/x
  3. Step 3: Cross multiply
    6,388,714.40x = 9,583,071.60 × 3,997,229.90
  4. Step 4: Simplify right side
    6,388,714.40x = 38,305,740,333,360.84
  5. Step 5: Solve for x
    x = 38,305,740,333,360.84/6,388,714.40
  6. Step 6: Final answer
    x = 5,995,844.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.